We present here the new results obtained with the INPOP planetary ephemerides and Bepi-Colombo radio-science simulations. We give new constraints for the classic General Relativity tests in terms of violation of the PPN parameters β and γ and the time variation of the gravitational constant G. We also present new limits for the mass of the graviton and finally we obtain new acceptable intervals for the dilaton parameters α0, αT and αG. Besides these tests of gravitation, we also study the possibility of detecting the Sun core rotation.